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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 342, Pages 206–216 (Mi znsl128)  
This article is cited in 2 scientific papers (total in 2 papers)

Investigation of front tangency of two transversal waves in transverse isotropic elastic media

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (172 kB) Citations (2)
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Abstract: A special case of transversely isotropic elastic medium is considered. This medium is excited by a point force perpendicular to the anisotropic axis. The wave field in this medium is constructed and investigated. The fronts of the SV and SH waves are contact with one another at a point. In order to investigate the vicinity of this point, we derive more simple expressions of the wave field and establish the special function describing the contact of two fronts.
Received: 25.04.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 148, Issue 5, Pages 753–759
DOI: https://doi.org/10.1007/s10958-008-0022-3
Bibliographic databases:
UDC: 550.34
Language: Russian
Citation: L. A. Molotkov, “Investigation of front tangency of two transversal waves in transverse isotropic elastic media”, Mathematical problems in the theory of wave propagation. Part 36, Zap. Nauchn. Sem. POMI, 342, POMI, St. Petersburg, 2007, 206–216; J. Math. Sci. (N. Y.), 148:5 (2008), 753–759
Citation in format AMSBIB
\Bibitem{Mol07}
\by L.~A.~Molotkov
\paper Investigation of front tangency of two transversal waves in transverse isotropic elastic media
\inbook Mathematical problems in the theory of wave propagation. Part~36
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 342
\pages 206--216
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl128}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2365115}
\zmath{https://zbmath.org/?q=an:05637561}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 148
\issue 5
\pages 753--759
\crossref{https://doi.org/10.1007/s10958-008-0022-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38349115608}
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  • https://www.mathnet.ru/eng/znsl/v342/p206
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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